Common Core HSG.SRT.D.11 worksheet

Question 1

In triangle ABC, b = 19 cm, c = 16 cm and A = 108°. Find a to 1 decimal place.

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Question 2

In triangle ABC, A = 56°, C = 62° and a = 20 cm. Find b to 1 decimal place.

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Question 3

Zoe and Aisha cycle away from the same café along two straight paths with an angle of 145° between them. Zoe rides 20 km and Aisha rides 30 km. How far apart are they? Give 1 decimal place.

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Question 4

A triangle has sides a = 11, b = 7 and c = 15 cm. Find angle A (opposite a) to 1 decimal place.

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Question 5

A triangular garden has sides a = 57 m and b = 23 m, and the angle opposite a is 99°. Find the third angle C to 1 decimal place.

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Question 6

In triangle ABC, angle A = 53°, angle B = 76° and side a = 15 cm. Find side b to 1 decimal place.

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Question 7

In triangle ABC, a = 12 cm, b = 9 cm and angle A = 80°. Find angle B (acute) to 1 decimal place.

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Question 8

In triangle ABC, A = 108°, a = 15 cm and b = 8 cm. Find angle B to 1 decimal place.

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Question 9

A triangle has sides a = 14, b = 13 and c = 10. Find angle C (opposite side c) to 1 decimal place.

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Question 10

In triangle ABC, b = 14 cm, c = 4 cm and angle A = 38°. Find side a to 1 decimal place.

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Question 11

In triangle ABC, A = 79°, B = 32° and a = 12 cm. Find b to 1 decimal place.

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Question 12

A triangle has sides 11 cm, 13 cm and 8 cm. Find its largest angle to 1 decimal place.

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Question 13

You know two sides and an angle opposite one of them; find another angle. Which is the most direct method?

• A. Sine rule
• B. Cosine rule
• C. SOH CAH TOA (right angle)

Question 14

Two surveyors stand at P and Q, 160 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 36° and angle PQR = 75°. How far is the tree from Q? Give 1 decimal place.

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Question 15

In triangle ABC, b = 13 cm, c = 9 cm and A = 43°. Find a to 1 decimal place.

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Question 16

In triangle ABC, A = 50°, C = 98° and a = 17 cm. Find b to 1 decimal place.

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